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4x-9y+11
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4x-9y+11
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2x-y+1-2\left(-x\right)-4y+2-4\left(y-2\right)
Use the distributive property to multiply -2 by -x+2y-1.
2x-y+1+2x-4y+2-4\left(y-2\right)
Multiply -2 and -1 to get 2.
4x-y+1-4y+2-4\left(y-2\right)
Combine 2x and 2x to get 4x.
4x-5y+1+2-4\left(y-2\right)
Combine -y and -4y to get -5y.
4x-5y+3-4\left(y-2\right)
Add 1 and 2 to get 3.
4x-5y+3-4y+8
Use the distributive property to multiply -4 by y-2.
4x-9y+3+8
Combine -5y and -4y to get -9y.
4x-9y+11
Add 3 and 8 to get 11.
2x-y+1-2\left(-x\right)-4y+2-4\left(y-2\right)
Use the distributive property to multiply -2 by -x+2y-1.
2x-y+1+2x-4y+2-4\left(y-2\right)
Multiply -2 and -1 to get 2.
4x-y+1-4y+2-4\left(y-2\right)
Combine 2x and 2x to get 4x.
4x-5y+1+2-4\left(y-2\right)
Combine -y and -4y to get -5y.
4x-5y+3-4\left(y-2\right)
Add 1 and 2 to get 3.
4x-5y+3-4y+8
Use the distributive property to multiply -4 by y-2.
4x-9y+3+8
Combine -5y and -4y to get -9y.
4x-9y+11
Add 3 and 8 to get 11.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}